
Please post any and all homework or other textbookstyle problems in one of the Homework & Coursework Questions...

Feb2313 09:24 AM
micromass

1 
35,947 
I want to show that the set of points (p,q) on the plane with rational coordinates p and q is countable. I proved set...

Jun2009 04:41 PM
HallsofIvy

2 
1,754 
hello guys. What does true randomness mean
Is it that you cannot predict the next number in the sequence ? Can...

Dec2510 02:56 AM
Aleksey

2 
1,754 
\frac{a}{n}=\sqrt{a};a > 0;n>1
How do I prove that a=4, and n=2 is the only solution? I'm pretty sure it is, but I...

Jan211 11:04 PM
TylerH

7 
1,754 
When I have a matrix like this:
0 0 1 0
0 1 0 0
1 0 0 1
0 0 1 1
0 0 0 1
I can get most non zero values in...

Jan2111 02:07 AM
Nask

3 
1,754 
I do not know if this is a common/standard construction, so here is my motivation for this question. From Crystal...

Jul2111 09:06 AM
kdbnlin78

2 
1,754 
I don't know anything of complex analysis or analytic number theory or analytic continuation. But i read about zeta...

Feb2512 08:24 AM
DonAntonio

2 
1,754 
it is possible to evaluate sums over the set of Rational
so \sum_{q} f(q) with q= \frac{m}{n} and m and n are...

Mar3112 06:39 PM
A. Bahat

4 
1,754 
I choose a random number p_1 \in and a subsequent series of (increasingly smaller) random numbers p_i \in . Then I...

Feb1013 09:59 PM
D H

6 
1,754 
Suppose that \mathbb Z_n\cong \mathbb Z/(n)=\{a+bia,b\in\mathbb Z_n\}
My 1st question: Is every prime element in...

Jan811 09:59 AM
Lenardo

0 
1,753 
Hi, all. Unless I am mistaken, I am able to prove that the number G_n(z) of primes, no greater than the nth prime...

Jan1211 09:50 PM
funkhouser

0 
1,753 
I have run into a problem where I have a frieze pattern F, the frieze pattern has horizontal refelctive symmetry,...

Apr1811 11:29 PM
Deveno

1 
1,753 
Suppose I have a matrix that looks like this
2.415212e09 9.748863e10
2.415212e09...

Apr2512 03:21 AM
FoldHellmuth

3 
1,753 
I need to solve the equations of type
ax+ayxy=c (or) a(x+y)xy=c
In this equation a &...

Jul2805 12:55 AM
aravindsubramanian

10 
1,752 
I have been working on constructing a method to factor composite numbers composed of two odd prime numbers a and b. As...

Nov2105 09:37 PM
Edwin

0 
1,752 
Given R=all nonzero real numbers.
I have a mapping Q: R> R defined by Q(a) = a^4 for a in R. I have to show that...

Oct2606 02:52 PM
raj123

13 
1,752 
Does anyone have any ideas on how to even start this problem? I am supposed to find a general solution in rational...

Dec1206 03:01 AM
gonzo

2 
1,752 
This is a question in my textbook:
"The hyperplanes H1 and H2 have dimensions p and q, respectively. What is the...

Aug608 11:48 AM
JG89

5 
1,752 
Dear All,
I have a linear system of equations such as Ax = b where A is a mbyn matrix and m < n and A is a full...

May2612 07:52 AM
algebrat

1 
1,752 
Is it correct to say that any order 4 group is only isomorphic to either
C4 or C2+C2 ?
where C4 is the order 4...

May2312 03:10 PM
lpetrich

3 
1,751 
Im taking a group theory course at the moment in my third year of a theoretical physics degree. In my textbook the...

Dec1511 10:56 AM
Deveno

7 
1,750 
Hi,
I have the following
\underset{\\mathbf{x}\^2=1}{\text{max...

Mar1412 02:24 AM
S_David

0 
1,750 
I'm really stuck on the following problem:
I'm trying to determine whether or not
5^10^5^10^5 is divisible by...

Feb806 01:50 PM
vaishakh

9 
1,749 
(123)x=a
(456)y=b
(789)z=c
For which values (a,b,c) does the above equation have a solution where a,b,c,x,y,z...

Jun2407 09:22 AM
fopc

1 
1,749 
I know that all Lie algebras comprised of strictly upper triangular matrices are nilpotent. It would seem that there...

Oct907 04:45 AM
matt grime

2 
1,749 
My definition of a strongly nilpotent element is:
Let a be in ring R the element a is strongly nilpotent if for...

Aug3008 10:14 PM
morphism

1 
1,749 
I read in some text the following:
Quaternion algebra becomes a normed vector(linear) space with appropriate norm...

Dec2306 06:36 PM
Hurkyl

2 
1,747 
Hello all,
I have recently encountered a tensor which is said to have the property "zero double trace". I am...

Dec1208 04:23 AM
[Matrix]

4 
1,747 
"Let p be a prime such that there exists a solution to the congruence x^2\equiv  2\mod p.
THEN there are integers a...

Feb2410 09:27 PM
robert Ihnot

7 
1,747 
I saw the following problem on my abstract algebra book (dummit && foote) , I tried to solve it but I couldn't :
Let...

Oct1110 04:03 AM
hermanni

3 
1,747 
What does x=pmodn mean where x,p,are integers and n is a natural number?

Mar604 04:50 PM
HallsofIvy

2 
1,746 
Since the the discovery of the complex number field resulted in part from efforts to resolve the quadratic formula...

Mar608 09:37 AM
HallsofIvy

3 
1,746 
I have a question that I am trying to find proof and/or references for:
Suppose we have two sets of points (P1 and...

Jan1009 01:17 PM
atsekhan

0 
1,746 
My best guess is this fits in algebra, I've been scratching my head with this for a while.
I have a three...

Apr1110 01:53 PM
Live2Learn

3 
1,746 
sorry im new and posted instead of previewing...im currently writing the post

May1611 09:26 AM
saulg

2 
1,746 
I am using the Law of Cosines to extract and angle I need from a shaft that is turning on an air engine by piston...

Jan412 10:59 PM
Simon Bridge

3 
1,746 
I think i'm lost on a key concept in LA. I was asked a question about what MxN a matrix needed to be in order to...

Feb805 07:49 PM
amb123

4 
1,745 
Question: Let G be a group of order p^n > 1 where p is prime. If H is a subgroup of G, show that it is subnormal in G....

Aug207 05:04 PM
bham10246

4 
1,745 
Hey guys,
I need to prove a few theorems about vector spaces using the axioms.
a) Prove: if v = v, then v = 0
...

Jan2708 05:19 PM
mathwonk

1 
1,745 
So I'm kind of confused about the definition:
ab\in I
Why a  b instead of a + b?

Jan2708 01:44 PM
mathwonk

3 
1,744 
Hi,
Let's say I have two points:
Pa = (0, 0, 30)
Pb = (2.5, 2.5, 7.5)
and I want to find the X and Y...

Jan309 10:51 AM
pjhphysics

8 
1,744 